Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below. parabolic func
tion coming up from the left through the point three comma zero and turning at the point four comma one and going down through the point five comma zero and continuing towards infinity Courtesy of Texas Instruments 5 3 1 0
2 answers:
Answer:
0
Step-by-step explanation:
The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:
Already with the figure we can solve the question.
We have that the average exchange rate in this case would only take the normal slope between those 2 lines
. Furthermore we know that the slope (m) is given by:
m = (y2-y1) / (x2 - x1)
From the graph we have to:
y2 = 0
y1 = 0
x2 = 5
x1 = 3
we replace:
m = (0-0) / (5 - 3)
m = 0
Therefore the average rate is 0.
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Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.
x=32 (final answer).